Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (11): 1439-1452.doi: https://doi.org/10.1007/s10483-010-1374-x

• Articles • 上一篇    下一篇

Nonconforming local projection stabilization for generalized Oseen equations

白艳红1 冯民富2 王川龙1   

  1. 1. Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China;
    2. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • 收稿日期:2010-04-27 修回日期:2010-10-05 出版日期:2010-11-01 发布日期:2010-11-01

Nonconforming local projection stabilization for generalized Oseen equations

BAI Yan-Hong1, FENG Min-Fu2, WANG Chuan-Long1   

  1. 1. Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China;
    2. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • Received:2010-04-27 Revised:2010-10-05 Online:2010-11-01 Published:2010-11-01

PDF

844

被引次数

10

摘要： A new method of nonconforming local projection stabilization for the generalized Oseen equations is proposed by a nonconforming inf-sup stable element pair for approximating the velocity and the pressure. The method has several attractive features. It adds a local projection term only on the sub-scale (H > h). The stabilized term is simple compared with the residual-free bubble element method. The method can handle the influence of strong convection. The numerical results agree with the theoretical expectations very well.

Abstract: A new method of nonconforming local projection stabilization for the generalized Oseen equations is proposed by a nonconforming inf-sup stable element pair for approximating the velocity and the pressure. The method has several attractive features. It adds a local projection term only on the sub-scale (H > h). The stabilized term is simple compared with the residual-free bubble element method. The method can handle the influence of strong convection. The numerical results agree with the theoretical expectations very well.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn